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Tannaka-Krein duality for compact quantum group coactions (survey)

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The last decade saw an appearance of a series of papers containing a very interesting development of the Tannaka-Krein duality for compact quantum group coactions on $C^*$-algebras. The present survey is intended to present the main ideas and constructions underlying this development.

Key words: Compact quantum group, coaction, Tannaka-Krein duality.

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TitleTannaka-Krein duality for compact quantum group coactions (survey)
SourceMethods Funct. Anal. Topology, Vol. 21 (2015), no. 3, 282-298
MathSciNet MR3521698
zbMATH 06630274
MilestonesReceived 01/02/2015
CopyrightThe Author(s) 2015 (CC BY-SA)

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Leonid Vainerman
Universite de Caen, LMNO, Campus II, B.P. 5186, F-14032 Caen Cedex, France

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Leonid Vainerman, Tannaka-Krein duality for compact quantum group coactions (survey), Methods Funct. Anal. Topology 21 (2015), no. 3, 282-298.


@article {MFAT778,
    AUTHOR = {Vainerman, Leonid},
     TITLE = {Tannaka-Krein duality for compact quantum group coactions (survey)},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {21},
      YEAR = {2015},
    NUMBER = {3},
     PAGES = {282-298},
      ISSN = {1029-3531},
  MRNUMBER = {MR3521698},
 ZBLNUMBER = {06630274},
       URL = {},

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